Bayesian hierarchical models in manufacturing bulk service queues

被引：16

作者：

Armero, C ^{[1
]}

Conesa, D ^{[1
]}

机构：

[1] Univ Valencia, Dept Stat & Operat Res, E-46100 Burjassot, Valencia, Spain

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2006年 / 136卷 / 02期

关键词：

hierarchical Bayesian analysis; bulk service queues; congestion in manufacturing systems; Markov chain Monte Carlo integration; numerical inversion of transforms; simulation;

D O I：

10.1016/j.jspi.2004.07.007

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In this paper, Queueing Theory and Bayesian statistical tools are used to analyze the congestion of various manufacturing bulk service queues with the same characteristics that are working independently of one another and in equilibrium. Hierarchical models are discussed in order to develop the whole inferential process for the parameters governing the system. Markov Chain Monte Carlo methods and numerical inversion of transforms are addressed to compute the posterior predictive distributions of the usual measures of performance in practice. (c) 2004 Elsevier B.V. All rights reserved.

引用

页码：335 / 354

页数：20

共 40 条

[11]

Bernardo JM., 1996, Bayesian Statistics, P3, DOI [10.1093/oso/9780198523567.003.0001, DOI 10.1093/OSO/9780198523567.003.0001]

[12]

BHAT UN, 1997, FRONTIERS QUEUEING

[13] EXPLAINING THE GIBBS SAMPLER [J].

CASELLA, G ;

GEORGE, EI .

AMERICAN STATISTICIAN, 1992, 46 (03) :167-174

[14]

Chaudhry M. L., 1987, Queueing Systems Theory and Applications, V2, P93, DOI 10.1007/BF01158395

[15]

CHAUDHURY ML, 1983, 1 COURSE BULK QUEUES

[16]

CONESA D, 2000, THESIS U VALENCIA

[17]

DRAPER D, 2001, BAYESIAN HIERARCHICA

[18]

GARCIADONATO G, 2001, THESIS U VALENCIA

[19] OBSERVING STOCHASTIC PROCESSES AND APPROXIMATE TRANSFORM INVERSION [J].

GAVER, DP .

OPERATIONS RESEARCH, 1966, 14 (03) :444-&

[20]

Gelman A., 1995, Bayesian Data Analysis

← 1 2 3 4 →